set1 - ECE 222B, Winter, 2010 Set 1, due Thursday, January...

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ECE 222B, Winter, 2010 Set 1, due Thursday, January 14th, in class. You are responsible for understanding the solutions to all problems, but should only turn in your answers to problems 1 and 2. 1. Assume that you are given the parallel plate capacitor as shown in Figure 1. The region between the plates is filled with two layers of dielectric, each with a finite (and different) conductivity ( σ 1 and σ 2 ). In what follows assume that x and y dependencies can be neglected, and assume that all time variations are slow enough so that magnetic field may be neglected and that the electric field within each of the dielectrics is independent of z . Note, however, that the electric field can be a function of time, and that the fields within the two regions can differ. (a) Assume that for times t < 0 the capacitor is totally discharged and the voltage drop across the plates is 0. At time t = 0 a voltage drop of V 0 is established across the plate and maintained. What are the electric fields E 1 and E 2 in the two dielectric regions just after the voltage drop is established? Justify your solution. You may assume that the electric field points in the z direction.
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This note was uploaded on 10/09/2010 for the course ECE 230 at UCSD.

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set1 - ECE 222B, Winter, 2010 Set 1, due Thursday, January...

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